Finding the Fourth Proportional to 10,685.48, 14,744.89 and 6,209.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,685.48 : 14,744.89 = 6,209.42 : x
2. Step 2: Convert to fraction form
   10,685.48/14,744.89 = 6,209.42/x
3. Step 3: Cross multiply
   10,685.48x = 14,744.89 × 6,209.42
4. Step 4: Simplify right side
   10,685.48x = 91,557,214.86
5. Step 5: Solve for x
   x = 91,557,214.86/10,685.48
6. Step 6: Final answer
   x = 8,568.38